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<p>We study the variable exponent double phase functionals with the critical growth. We show the sharp conditions for quasiminimizers of these functionals to be bounded or Holder continuous. Our results generalize to variable exponent case results obtained by several authors in constant exponent case.</p>

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Boundedness and Hölder continuity for a class of double phase variable exponent variational problems

  • 期刊论文

  • 发表日期：

    2026年5月12日

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  • Dukman Ri,
  • Kuksung Rim

摘要

We study the variable exponent double phase functionals with the critical growth. We show the sharp conditions for quasiminimizers of these functionals to be bounded or Holder continuous. Our results generalize to variable exponent case results obtained by several authors in constant exponent case.